Degree Theory for Discontinuous Operators: Applications to Discontinuous Differential Equations

Ruben Figueroa (Salvaterra de Mino, Galicia, 1984) obtained his Ph.D. degree at University of Santiago de Compostela in 2011, with a dissertation about discontinuous differential equations with deviated arguments. In the following years, he focused his research on the study of topological methods for discontinuous operators and its applications to Ordinary Differential Equations. This research gave rise to a score of scientific publications in different journals. At present, he combines his research with teaching at a secondary school.

Rodrigo Lopez Pouso (Ferrol, Galicia, 1973) obtained his Ph.D. degree in 1999 with a thesis on discontinuous differential equations. He currently works as a professor at the University of Santiago de Compostela. His research interests range from discontinuous ordinary differential equations to classical real analysis and he is the author or co-author of more than 60 papers published in high impact mathematical journals.

Jorge Rodriguez-Lopez (A Pontenova, Galicia, 1993) obtained a Ph.D. Degree in Mathematical Analysis at University of Santiago de Compostela in 2020. His line of research focuses on nonlinear analysis, with emphasis in discontinuous differential equations, topological methods and fixed point theory. His results on existence, uniqueness and multiplicity of solutions for ordinary differential equations have been published in several research papers included in the Citation Index Report. Currently, he is Assistant Professor at the University of Santiago de Compostela.